{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unconditional image generation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unconditional image generation generates images that look like a random sample from the training data the model was trained on because the denoising process is not guided by any additional context like text or image.\n",
    "\n",
    "To get started, use the [DiffusionPipeline](https://huggingface.co/docs/diffusers/main/en/api/pipelines/overview#diffusers.DiffusionPipeline) to load the [anton-l/ddpm-butterflies-128](https://huggingface.co/anton-l/ddpm-butterflies-128) checkpoint to generate images of butterflies. The [DiffusionPipeline](https://huggingface.co/docs/diffusers/main/en/api/pipelines/overview#diffusers.DiffusionPipeline) downloads and caches all the model components required to generate an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/numpy/core/getlimits.py:549: UserWarning: The value of the smallest subnormal for <class 'numpy.float64'> type is zero.\n",
      "  setattr(self, word, getattr(machar, word).flat[0])\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/numpy/core/getlimits.py:89: UserWarning: The value of the smallest subnormal for <class 'numpy.float64'> type is zero.\n",
      "  return self._float_to_str(self.smallest_subnormal)\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/numpy/core/getlimits.py:549: UserWarning: The value of the smallest subnormal for <class 'numpy.float32'> type is zero.\n",
      "  setattr(self, word, getattr(machar, word).flat[0])\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/numpy/core/getlimits.py:89: UserWarning: The value of the smallest subnormal for <class 'numpy.float32'> type is zero.\n",
      "  return self._float_to_str(self.smallest_subnormal)\n",
      "[WARNING] ME(633062:281473535938592,MainProcess):2025-08-04-16:23:47.499.000 [mindspore/context.py:1335] For 'context.set_context', the parameter 'ascend_config' will be deprecated and removed in a future version. Please use the api mindspore.device_context.ascend.op_precision.precision_mode(),\n",
      "                                                       mindspore.device_context.ascend.op_precision.op_precision_mode(),\n",
      "                                                       mindspore.device_context.ascend.op_precision.matmul_allow_hf32(),\n",
      "                                                       mindspore.device_context.ascend.op_precision.conv_allow_hf32(),\n",
      "                                                       mindspore.device_context.ascend.op_tuning.op_compile() instead.\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/mindnlp/core/_dtype.py:10: UserWarning: MindSpore on GPU/910A do not support bfloat16, use float16 instead.\n",
      "  warnings.warn('MindSpore on GPU/910A do not support bfloat16, use float16 instead.')\n",
      "/home/lvyufeng/miniconda3/envs/mindspore/lib/python3.11/site-packages/torchvision/io/image.py:14: UserWarning: Failed to load image Python extension: 'not support import any ops for now.'If you don't plan on using image functionality from `torchvision.io`, you can ignore this warning. Otherwise, there might be something wrong with your environment. Did you have `libjpeg` or `libpng` installed before building `torchvision` from source?\n",
      "  warn(\n"
     ]
    }
   ],
   "source": [
    "import mindnlp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fetching 4 files: 100%|███████████████████████████████████████████████████████████████████| 4/4 [01:27<00:00, 21.80s/it]\n",
      "Loading pipeline components...:   0%|                                                             | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[MS_ALLOC_CONF]Runtime config:  enable_vmm:True  vmm_align_size:2MB\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading pipeline components...: 100%|█████████████████████████████████████████████████████| 2/2 [00:09<00:00,  4.69s/it]\n",
      "100%|███████████████████████████████████████████████████████████████████████████████| 1000/1000 [01:05<00:00, 15.17it/s]\n"
     ]
    },
    {
     "data": {
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      "image/png": 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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=128x128>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from diffusers import DiffusionPipeline\n",
    "\n",
    "generator = DiffusionPipeline.from_pretrained(\"anton-l/ddpm-butterflies-128\").to(\"cuda\")\n",
    "image = generator().images[0]\n",
    "image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<Tip>\n",
    "\n",
    "Want to generate images of something else? Take a look at the training [guide](https://huggingface.co/docs/diffusers/main/en/using-diffusers/../training/unconditional_training) to learn how to train a model to generate your own images.\n",
    "\n",
    "</Tip>\n",
    "\n",
    "The output image is a [`PIL.Image`](https://pillow.readthedocs.io/en/stable/reference/Image.html?highlight=image#the-image-class) object that can be saved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "image.save(\"generated_image.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also try experimenting with the `num_inference_steps` parameter, which controls the number of denoising steps. More denoising steps typically produce higher quality images, but it'll take longer to generate. Feel free to play around with this parameter to see how it affects the image quality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████████████████████████| 100/100 [00:06<00:00, 15.51it/s]\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "image/png": 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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=128x128>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image = generator(num_inference_steps=100).images[0]\n",
    "image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try out the Space below to generate an image of a butterfly!\n",
    "\n",
    "<iframe\n",
    "\tsrc=\"https://stevhliu-unconditional-image-generation.hf.space\"\n",
    "\tframeborder=\"0\"\n",
    "\twidth=\"850\"\n",
    "\theight=\"500\"\n",
    "></iframe>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
